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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Specific values > Specialized values > Cases with m==2 > Case {m,n,p,q}={2,3,4,2}





http://functions.wolfram.com/07.34.03.0942.01









  


  








Input Form





MeijerG[{{a, c, 1/2 + a}, {1/2 + c}}, {{b, 1/2 + b}, {}}, z] == 4^(a - b) Sqrt[Pi] Gamma[1 - 2 a + 2 b] Gamma[1 + 2 b - 2 c] Sqrt[-z] z^(-1 + c) (HypergeometricU[1 + 2 b - 2 c, 1 + 2 a - 2 c, -(2/Sqrt[-z])] - HypergeometricU[1 + 2 b - 2 c, 1 + 2 a - 2 c, 2/Sqrt[-z]]) /; !IntervalMemberQ[Interval[{-Infinity, 0}], z]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29